Solvability of nonlinear equations in spectral gaps of the linearization

DOI10.1016/0362-546X(92)90116-VzbMath0777.47033OpenAlexW2070329495MaRDI QIDQ4030898

Charles A. Stuart, Hans-Peter Heinz

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90116-v

zbMATH Keywords

nonlinear Hill's equationstrongle indefinite

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear differential equations in abstract spaces (34G20) General theory of ordinary differential operators (47E05)

Related Items (11)

Existence and gap-bifurcation of multiple solutions to certain nonlinear eigenvalue problems ⋮ Necessary and sufficient conditions for gap-bifurcation ⋮ Unbounded solution components for nonlinear Hill's equations ⋮ Unnamed Item ⋮ On the Solution Structure of Nonlinear Hill's Equation I, Global Results ⋮ Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation ⋮ A generalized min-max theorem for functionals of strongly indefinite sign ⋮ Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation ⋮ A discretised nonlinear eigenvalue problem with many spurious branches of solutions ⋮ A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations ⋮ Minimax characterization of solutions for a semilinear elliptic equation with lack of compactness

Cites Work

• Critical point theorems for indefinite functionals
• Lacunary bifurcation for operator equations and nonlinear boundary value problems on ℝ^N
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
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